Atkin-Lehner |
3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975j |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2399040 |
Modular degree for the optimal curve |
Δ |
-759055067138671875 = -1 · 33 · 513 · 116 · 13 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 11- 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-200658,54417593] |
[a1,a2,a3,a4,a6] |
j |
-32278933504/27421875 |
j-invariant |
L |
0.52032566258447 |
L(r)(E,1)/r! |
Ω |
0.26016302108313 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595m1 975d1 |
Quadratic twists by: 5 -11 |